Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations

DOI10.1016/S0024-3795(00)00321-9zbMath0981.65135OpenAlexW2106301605MaRDI QIDQ5935356

Yong Hun Lee, Sang Dong Kim

Publication date: 21 March 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00321-9

zbMATH Keywords

preconditioningelliptic equationscubic spline collocation methodsDirichlet-Neumann problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Uses Software

• Matlab
• Spline Toolbox

Cites Work

• Collocation methods for parabolic partial differential equations in one space dimension
• Fast algorithms for high-order spline collocation systems
• Finite difference preconditioning cubic spline collocation method of elliptic equations
• Multigrid and multilevel methods for quadratic spline collocation
• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
• Preconditioning cubic spline collocation discretizations of elliptic equations
• Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems II: Finite Element Operators
• Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations
• Spectral Analysis of Hermite Cubic Spline Collocation Systems
• Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations
• Unnamed Item

This page was built for publication: Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations